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Finding the Fourth Proportional to 4,317.59, 6,477.74 and 1,544.21

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Solution

The fourth proportional to 4,317.59, 6,477.74 and 1,544.21 is: 2,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317.59 : 6,477.74 = 1,544.21 : x
  2. Step 2: Convert to fraction form
    4,317.59/6,477.74 = 1,544.21/x
  3. Step 3: Cross multiply
    4,317.59x = 6,477.74 × 1,544.21
  4. Step 4: Simplify right side
    4,317.59x = 10,002,950.78
  5. Step 5: Solve for x
    x = 10,002,950.78/4,317.59
  6. Step 6: Final answer
    x = 2,316.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.